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Some remarks on strong uniqueness of best approximation

Approximation Theory and its Applications, 1990
In the paper we examine properties of strongly unique best approximation in terms of extremal functionals in an abstract normed linear space. Using some new or modified tools (e.g., the shadow of a set, strongly tangent sets, I-sets) we express criteria of strong uniqueness both in linear and nonlinear approximation.
J. Sudolski, A. P. Wójcik
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On the uniqueness of best approximation in non-archimedian spaces

Periodica Mathematica Hungarica, 1991
\textit{A. F. Monna} [Indag. Math. 30, 484--496 (1968; Zbl 0172.39302)] has shown that 1. No subspace other than the trivial one of a non-Archimedean normed linear space (n.a. n.l.s.) \(X\) over a non-Archimedean non-trivially valued field \(K\), can be Chebyshev and 2.
Narang, T. D., Garg, S. K.
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